Algebra 2 Review

Solve the previous system:
Yellowstone National Park is a popular field trip.  The senior class rented and filled 9 vans and 3 buses with 174 students.  The junior class rented and filled 14 vans and 18 buses with 804 students.  Write a system of equations to represent.
9x+3y=174
14x+18y=804

• Van:9, Bus:29

• Van:6, Bus:40

• Van:40, Bus:6

• Van:2, Bus:35

Write a system of equations:
The day prior of the talent show, Huong sold 3 adult tickets and 14 child tickets for a total of $215. The day of the talent show, the school took in $458 by selling 18 adult and 20 child tickets.  What is the price of each?  

• 3x+14y=215
  18x+20y=458

• 3x+14y=458
  18x+20y=215

• 3x+18y=215
  14x+20y=458

• x+y=673
  3x+14y=215

Solve by taking the square root:
7v²+6=447

• 7.937,-7.937

• 42,-42

• 6.481

• 6.481, -6.481

Solve each by factoring:
(x-5)(2x+7)=0

• 5, 7/2

• 5,-7/2

• -5, 7/2

• 0,5,-7/2

Solve:
2r(r+3)=0

• 2,0,-3

• -3

• 0,-3

• 2,-3

What are the next correct steps of completing the square?
x²-4x-60=0

• x²-4x=60
  (x-2)(x-2)=60+4
  (x-2)²=64

• x²-4x=60
  (x-2)(x-2)=60
  (x-2)²=60

• x²-4x=-60
  (x-2)(x-2)=-60+4
  (x-2)²=-56

• x²-4x=60
  (x+2)(x+2)=60+4
  (x+2)²=64

Solve by Completing the Square
x²+8x -11 =0

• -4 + 3√3, -4 - 3√3

• -4 +3√3, 4 + 3√3

• 4 + √11, 4 - √11

• -4 + √11, -4 - √11

Identify a,b, and c to solve with the quadratic formula:
6x²-10x-8=8

• a=6,b=-10,c=0

• a=6,b=-10,c=-8

• a=6,b=-10,c=-16

• a=6,b=10,c=-16

Solve with the quadratic formula:
6x²-10x-8=8
6x²-10x-16=0
a =6, b=-10, c=-16

• 3,-2

• 2.7, -1

• 7.3,-3.3

• 3.3,-7.3

Solve via factoring:
7r²-54r+35=0

• (7r- 5)(r -7)=0, r=5/7,7

• (7r-7)(r-5)=0, r=1,5

• (7r+5)(r-7)=0,r=-5/7, 7

• (7r+5)(r+7)=0,r=-5/7,7